Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir

Tong Dengke; Chen Qinlei

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(12): 1267-1274

Tong Dengke, Chen Qinlei. Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1267-1274.

Citation:

Tong Dengke, Chen Qinlei. Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1267-1274.

Citation:

Tong Dengke, Chen Qinlei. Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1267-1274.

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Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir

Tong Dengke¹,
Chen Qinlei²

1.
Petroleum University(East of China), Dongying, Shandong 257062, P R China;
2.
Petroleum University (Beijing), Beijing 102249, P R China

Received Date: 1998-04-20
Rev Recd Date: 1999-04-21
Publish Date: 1999-12-15

Abstract

Abstract

In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco-elastic fluids flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by a double parameters(d_f,d_s)and to describe the generalized flow characteristics of visco-elastic fluid by four parameters(d_f,d_s,λ_v,λ_p) are presented.Exact solutions and asymptotic solutions have been obtained by using Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluids flow through a fractal reservoir are studied by using the numerical Laplace transform inversion and asymptotic solutions.The law of pressure change for various fractal parameter is obtained.
- visco-elastic fluids,
- fractal,
- integral transform,
- well test analysis

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References(7)

References

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